(f(g(x)))' = f'(g(x))⋅g'(x) ε = -dΦ/dt d = √((x₂-x₁)²+(y₂-y₁)²) sin²θ + cos²θ = 1 ΔT_f = iK_fm I = ½ Σ c_i z_i² S_n = (n/2)[2a + (n - 1)d] ∫(dx/x) = ln|x| + C λ = h/p αβ = c/a d = |Ax₀ + By₀ + C|/√(A²+B²) n₁ sinθ₁ = n₂ sinθ₂ n = c/v Percent Purity = (mass of pure substance/mass of sample) × 100 M = moles/volume π = MRT ΔG = ΔH - TΔS d/dx(sin x) = cos x Rate = k[A]^m[B]ⁿ V = L(dI/dt) Normality = Molarity × n A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| n = mass/M d/dx(e^x) = e^x pK_a = -log K_a

Q = It K.E. = ½mv² f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ P_solution = X_solvent × P^°_solvent A = ½ab sin C f'(a) = lim_h→0 (f(a+h)-f(a))/h ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) pH = -log[H⁺] ∫ u dv = uv - ∫ v du x = [-b ± √(b² - 4ac)]/(2a) sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! sin²(θ/2) = (1 - cosθ)/2 sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) cos 2θ = cos²θ - sin²θ S = a/(1 - r) 1/f = 1/v + 1/u E = VIt F = ma a_n = ar^{n - 1} Equivalent Weight = Molecular Weight/n s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) Φ = BA cosθ F = q(E + v × B) C(n, r) = n!/(r!(n-r)!) v² = u² + 2as

s = ut + ½at² U = mgh m = (y₂ - y₁)/(x₂ - x₁) x = a sinθ d/dx(ln x) = 1/x A = ∫_a^b f(x) dx A = Pe^rt E = hf P(n, r) = n!/(n-r)! cos²(θ/2) = (1 + cosθ)/2 (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² (x-h)² + (y-k)² = r² sin 2θ = 2 sinθ cosθ P = W/t T = 2π√(L/g) a_n = a + (n - 1)d E = E° - (0.0591/n) log Q 2 sin A cos B = sin(A+B) + sin(A-B) A = πab ΔT_b = iK_bm d/dx(cos x) = -sin x F_x + F_y(dy/dx) = 0 y - y₁ = m(x - x₁) c = λf f''(x)

v = u + at lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) V = (4/3)πr³ cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! P = IV α + β = -b/a A = ab sinθ m = f'(x) S_n = a(1 - rⁿ)/(1 - r) e^x = Σ xⁿ/n! e = (v₂ - v₁)/(u₁ - u₂) W = Fd cosθ log_b a = ln a/ln b F_c = mv²/r a_c = v²/r p = mv K_c = ([C]^c[D]^d)/([A]^a[B]^b) (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k (1+x)ⁿ = Σ ⁿ C _k.x^k V = IR F = k( q₁q₂ )/r² f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ